A semiconductor structure having tapered damascene aperture is disclosed. The semiconductor structure including an etching stop layer over an inter-layer dielectric (ILD) layer, a low-k dielectric layer over the etching stop layer, and a tapered aperture at least going into the low-k dielectric layer; wherein the tapered aperture is filled with copper (Cu), a width of a mouth surface portion of the aperture tapers inwardly from a first, wider width to a second, narrower width at a bottom surface portion of the aperture, and the width of the bottom surface portion of the tapered aperture is less than 50 nm. Associated methods of fabricating a semiconductor structure are also disclosed.